GCF of 5144/827, 8842/3992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5144/827, 8842/3992 i.e 2/3301384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5144/827, 8842/3992.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5144/827,8842/3992?
Given fractions are 5144/827,8842/3992
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5144/827,8842/3992, numerators are 5144,8842
Denominators are 827,3992
The GCF of 5144,8842 is 2 .
LCM of 827,3992 is 3301384.
The greatest common factor of 5144/827,8842/3992 = [GCF of 5144,8842]/[LCM of 827,3992]= 2/3301384
Therefore, the GCF of 5144/827,8842/3992 is 2/3301384.
To find the highest common factor of 5144,8842, we have to find the factors of both numbers and list the highest common factor.
The factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144
The factors of 8842 are 1, 2, 4421, 8842
The HCF of 5144,8842 is 2.
Lets's calculate GCF of 5144,8842
| 2 | 5144, 8842 |
| 2572, 4421 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5144,8842 By Matching Biggest Common Factor Method
Now, list down the factors of 5144
:1,2,4,8,643,1286,2572,5144
Now, list down the factors of 8842
:1,2,4421,8842
Greatest Common Factor
We found the factors 5144,8842 . The biggest common factor number is the GCF number.
So the greatest common factor 5144,8842 is 2.
Lets's calculate LCM of 827,3992
Given numbers has no common factors except 1. So, there LCM is their product i.e 3301384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3301384
Therefore, the GCF of Fractions 5144/827,8842/3992 is 2/3301384
Least Common Multiple of 827,3992 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 827,3992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,3992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,3992) x common factors =1 x 1 = 1
LCM(827,3992) = ( 827 × 3992 ) / 1
LCM(827,3992) = 3301384 / 1
LCM(827,3992) = 3301384
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FAQs on GCF of Fractions of 5144/827, 8842/3992
1. What is the HCF of 5144,8842?
The HCF of 5144,8842 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5144/827, 8842/3992?
Answer: GCF of Numerators as per given numbers 5144/827, 8842/3992 is
GCF of Numerators i.e. for 5144,8842 is 2
LCM of denominators i.e. for 827,3992 is 3301384.
Thus, GCF of Fractions is 2/3301384.Finally, GCF of Fractions for 5144/827, 8842/3992 is 2/3301384.